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Finding the Fourth Proportional to 14,574, 20,112.12 and 7,950

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Solution

The fourth proportional to 14,574, 20,112.12 and 7,950 is: 10,971

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,574 : 20,112.12 = 7,950 : x
  2. Step 2: Convert to fraction form
    14,574/20,112.12 = 7,950/x
  3. Step 3: Cross multiply
    14,574x = 20,112.12 × 7,950
  4. Step 4: Simplify right side
    14,574x = 159,891,354
  5. Step 5: Solve for x
    x = 159,891,354/14,574
  6. Step 6: Final answer
    x = 10,971

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.